GCD of 712, 261, 344, 291 Calculator

Given Input numbers are 712, 261, 344, 291

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 712, 261, 344, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 261, 344, 291 is 1.

Therefore, GCD of numbers 712, 261, 344, 291 is 1

Given Input Data is 712, 261, 344, 291

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 291 is 3 x 97

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(712, 261) = 185832

GCD(712, 261) = ( 712 x 261 ) / 185832

GCD(712, 261) = 185832 / 185832

GCD(712, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

GCD of 712, 261, 344, 291 is 1

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1. What is the GCD of 712, 261, 344, 291?

GCD of 712, 261, 344, 291 is 1

2. Where do I get the detailed procedure to find GCD of 712, 261, 344, 291?

You can find a detailed procedure to find GCD of 712, 261, 344, 291 on our page.

3. How to find GCD of 712, 261, 344, 291 on a calculator?

You can find the GCD of 712, 261, 344, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.